FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 25-33

Rank-1 quotient divisible groups

O. I. Davydova

Abstract

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An Abelian group is called quotient divisible if it does not contain nonzero torsion divisible subgroups, but does contain a free finite-rank subgroup such that the quotient group by it is divisible. In this paper, we will describe rank-1 quotient divisible groups with the help of cocharacteristics, and we will describe the endomorphisms of these groups as well.

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Last modified: June 19, 2007